Problem $2$:

In Model $3-1,$ suppose that instead of having a single source of parts, there are three sources of arrival, one for each of three different kinds of parts that arrive: Blue $($as before$),$ Green, and Red. For each color of arriving part, interarrival times are exponentially distributed with a mean of $16$ minutes. Run the simulation for $480$ minutes and compute the same performance measures as for Model $3-1.$ Once the parts are in the system, they retain their correct color $($for the animation$)$ but are not differentiated for collection of statistics on time in queue, queue length, or utilization $($that is$,$ they$$re lumped together for purposes of processing and statistics collection on these output performance measures; however, collect statistics separately by part color for total time in system. Processing times at the drilling center are the same as in Model $3-1$ and are the same regardless of the color of the part. Make just a single replication. Show: $1.$ average time in queue for all part types together; $2.$ average queue length for all part types together, and $3.$ server utilization for all part types together.